One-Dimensional Compressible Solution for Transient Cavitating Pipe Flow
Publication: Journal of Hydraulic Engineering
Volume 147, Issue 4
Abstract
Fluid transient phenomena involving pressure wave propagation have often been studied and solved with the method of characteristics. Only recently has the finite-volume method (FVM) been proposed and implemented to solve the transient fluid flows for a one-dimensional water-hammer–based analysis. The use of the FVM permits the introduction of new solution algorithms and, at the same time, deals with more general conditions, including multiphase flow and cavitation. The research presented in this paper investigates improvements to the solution methods for one-dimensional flow simulation with compressibility and multiphase liquid-gas flows induced by cavitation in which the gas phase consists of two distinct components: noncondensible gas and vapor. The effects of the second phase and the compressibility play an essential role in the density and, consequently, the speed of sound variation in the flow, and accounting for these provide a more accurate prediction of pressure wave propagation. The simulations carried out were second-order accurate in time and space by using the monotonic upwind scheme for conservative laws (MUSCL). The total variation diminishing (TVD) strategy was also implemented for stability reasons. To consider the second phase, a variation of the discrete gas and vapor cavity model was used. In conclusion, a comparison with experimental data, similar algorithm approaches, and the classical method of characteristics indicate a more effective approach for the simulation of pressure-wave propagation for compressible conditions.
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Data Availability Statement
Some or all data, models, or code generated or used during the study are available from the corresponding author by request
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Pezzinga and Cannizzaro data: https://doi.org/10.1061/(asce)hy.1943-7900.0000840.
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Daude et al. data: https://doi.org/10.1016/j.jfluidstructs.2018.08.014.
Acknowledgments
The authors wish to acknowledge individuals who indirectly helped to create this publication, especially Arris Tijsseling, from the Eindhoven University of Technology (TU/e), who advised with strategies and provided constructive discussion, and Stephan Hannot (Weir Group PLC). Moreover, this project has received funding from the European Union’s Horizon 2020 research and innovation program under the Marie Sklodowska-Curie Grant Agreement No. 643159.
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Published In
Journal of Hydraulic Engineering
Volume 147 • Issue 4 • April 2021
Copyright
© 2021 American Society of Civil Engineers.
History
Received: Mar 27, 2019
Accepted: Sep 25, 2020
Published online: Jan 30, 2021
Published in print: Apr 1, 2021
Discussion open until: Jun 30, 2021
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